Pith Number

pith:B64SRKHB

pith:2026:B64SRKHBTMQE4S2LUGKE6Q3HQP

not attested not anchored not stored refs pending

Nearly universal CMB TT spectrum from pre-inflationary dynamics in a closed universe: KICI scenario, bouncing universe, and emergent universe

Hao Chen, Qihong Huang

Three pre-inflationary paths in a closed universe produce identical CMB TT spectra with large-scale suppression.

arxiv:2605.04755 v2 · 2026-05-06 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B64SRKHBTMQE4S2LUGKE6Q3HQP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Moreover, the CMB TT spectra for these models overlap completely, indicating that these models are indistinguishable via their CMB TT spectra, and that the suppression and the detailed shape of the CMB TT spectrum are independent of the specific pre-inflationary dynamics or the presence of a transition stage.

C2weakest assumption

The phase space analysis correctly identifies the three evolutionary paths and that the subsequent calculation of the primordial power spectrum and CMB TT spectrum for each path is accurate and complete.

C3one line summary

KICI, bouncing, and emergent universe models in a closed geometry all produce the same large-scale-suppressed CMB TT spectrum.

Receipt and verification

First computed	2026-06-02T01:04:16.471110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb928a8e19b204e4b4ba1944f436783c5f95e756e11a531a6b8cf76ae6ad26a

Aliases

arxiv: 2605.04755 · arxiv_version: 2605.04755v2 · doi: 10.48550/arxiv.2605.04755 · pith_short_12: B64SRKHBTMQE · pith_short_16: B64SRKHBTMQE4S2L · pith_short_8: B64SRKHB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/B64SRKHBTMQE4S2LUGKE6Q3HQP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0fb928a8e19b204e4b4ba1944f436783c5f95e756e11a531a6b8cf76ae6ad26a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9e33cc6551d72d7627794d9e9c24702e38c5203b89a09062b40aefd6182d2a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-06T11:04:36Z",
    "title_canon_sha256": "0a450d76cdf9372fa33093b06ab4d613fc644de00f2eac699fc9e000c23b004f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.04755",
    "kind": "arxiv",
    "version": 2
  }
}